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Finding the Fourth Proportional to 30,409.73, 41,965.34 and 16,980.99

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Solution

The fourth proportional to 30,409.73, 41,965.34 and 16,980.99 is: 23,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.73 : 41,965.34 = 16,980.99 : x
  2. Step 2: Convert to fraction form
    30,409.73/41,965.34 = 16,980.99/x
  3. Step 3: Cross multiply
    30,409.73x = 41,965.34 × 16,980.99
  4. Step 4: Simplify right side
    30,409.73x = 712,613,108.18
  5. Step 5: Solve for x
    x = 712,613,108.18/30,409.73
  6. Step 6: Final answer
    x = 23,433.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.